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Mixture Index of fit

Rudas et al. (1994) [322] Goodness-of-fit in the analysis of contingency tables. Model represented as a two-point mixture where one component is the model of interest $H$ (independence used in examples) and the other unrestricted. Index of fit $\pi^{*}$ is smallest proportion of unresticted component, i.e. proportion of data which cannot be described by $H$. MLE of $\pi^{*}$ (by EM) and lower bound (profile likelihood). Also bivariate normal example.

Clogg et al. (1995) [81] Mixture index of Rudas et al. (1994) [322] applied to mobility data, independence and quasi-independence models in examples. Emphasis (more than in [322]) on examining the `residuals', i.e. the part of the data left to the unrestricted model. Comparisons of these to the standard residuals and $\Delta$.

Xi and Lindsay (1996) [392] Estimating the mixture index of Rudas et al. (1994) [322] with sequential quadratic programming instead of EM.



Jouni Kuha 2003-07-16